Xandra baked 35 macarons and wafers. She burnt 2 pieces and counted the remaining pieces. ¹₃ of the wafers and ³₄ of the macarons were apricot flavoured. There were equal number of wafers and macarons that were blueberry flavoured.

1. How many unburnt blueberry macarons were there?
2. What fraction of the unburnt pastries were apricot macarons?

(a)
Number of pastries that was not burnt
= 35 - 2
= 33

Fraction of the wafers that was blueberry flavoured
= 1 - ¹₃ 
= ²₃ 

Fraction of the macarons that was blueberry flavoured
= 1 - ³₄ 
= ¹₄ 

The number of blueberry wafers and blueberry macarons was the same. Make the numerators the same. 
23 Wafers = 1x24x2 Macarons 
23 Wafers = 28 Macarons 

Number of unburnt wafers = 3 u
Number of unburnt macarons = 8 u

Total number of unburnt pastries
= 3 u + 8 u
= 11 u

11 u = 33

1 u = 33 ÷ 11 = 3

Number of unburnt blueberry macarons
= 2 u
= 2 x 3
= 6

(b)
Number of unburnt apricot macarons
= 8 u - 2 u
= 6 u

^{Unburnt apricot macarons}_{Total unburnt pastries}
= ⁶_{3 + 8}
= ⁶₁₁

Answer(s): (a) 6; (b) ⁶₁₁